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Finding the Fourth Proportional to 301,285.96, 451,931.59 and 76,646.63

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Solution

The fourth proportional to 301,285.96, 451,931.59 and 76,646.63 is: 114,970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,285.96 : 451,931.59 = 76,646.63 : x
  2. Step 2: Convert to fraction form
    301,285.96/451,931.59 = 76,646.63/x
  3. Step 3: Cross multiply
    301,285.96x = 451,931.59 × 76,646.63
  4. Step 4: Simplify right side
    301,285.96x = 34,639,033,364.04
  5. Step 5: Solve for x
    x = 34,639,033,364.04/301,285.96
  6. Step 6: Final answer
    x = 114,970.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.